强非线性对称振子周期振动的一种解法

A Solution to the Periodic Vibration of Strongly Nonlinear Symmetric Oscillators

给出一类强非线性对称振子周期振动的一种解法。此法先将常微分方程的求解问题化为积分方程的求解 ;再利用增量法的思想及谐波平衡原理 ,将积分问题化为求解谐波项系数的线性代数方程 ;

A solution to the periodic vibration of strongly nonlinear symmetric oscillators is given. First the ordinary differential equation is transformed into the integral equation. And then the integration equation is transformed into linear algebraic eguation,employing the idea of the incremental method and the principle of the harmonic balance. Finally,an application of the present method is given.